Results 41 to 50 of about 2,415 (165)

On the Joint Distribution of Energy Levels of Random Schroedinger Operators

open access: yes, 2008
We consider operators with random potentials on graphs, such as the lattice version of the random Schroedinger operator. The main result is a general bound on the probabilities of simultaneous occurrence of eigenvalues in specified distinct intervals ...
Bourgain J   +6 more
core   +1 more source

Uniform determinantal representations [PDF]

open access: yes, 2016
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-linear forms arises from algebraic geometry, optimisation, complexity theory, and scientific computing. Motivated by recent developments in this last area, we
Boralevi, Ada   +4 more
core   +2 more sources

Volt/VAr Regulation of the West Mediterranean Regional Electrical Grids Using SVC/STATCOM Devices With Neural Network Algorithms

open access: yesWind Energy, Volume 28, Issue 2, February 2025.
ABSTRACT Reactive power compensation is now a challenging issue in maintaining adequate power quality and improving the performance of the transmission system. Many researchers have focused on the behavior of voltage in the unbalanced state, and the majority of the studies have been done with STATCOM. In this study, the increasing power demand in power
H. Feza Carlak, Ergin Kayar
wiley   +1 more source

Dissolving cusp forms: Higher order Fermi's Golden Rules

open access: yes, 2010
For a hyperbolic surface embedded eigenvalues of the Laplace operator are unstable and tend to become resonances. A sufficient dissolving condition was identified by Phillips-Sarnak and is elegantly expressed in Fermi's Golden Rule. We prove formulas for
Petridis, Yiannis N., Risager, Morten S.
core   +2 more sources

Simple eigenvalues and bifurcation for a multiparameter problem [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1988
We are concerned with the problem of bifurcation of solutions of a non-linear multiparameter problem at a simple eigenvalue of the linearised problem.Let X and Y be real Banach spaces, and let A, Bi, i = 1, …, n∈B(X, Y). Let : Rn × X → Y be a non-linear mapping. We consider the equationwhereand λ=(λ1, λ2,…,λn) ∈ Rn is an n-tuple of spectral parameters.
McGhee, D. F., Sallam, M. H.
openaire   +2 more sources

Spatial distribution of health risk assessment of a drinking water reservoir exposed to urban agglomeration and industrial lead contamination in Istanbul, Türkiye

open access: yesWater Environment Research, Volume 97, Issue 2, February 2025.
The contents of 12 PTEs in the surface water of the dam lake were compared. Ecological risk indices and GIS‐based maps were used to assess stochastic health risks of PTEs. Factor/cluster and correlation analyses were conducted for source identification of PTEs.
Hüseyin Cüce   +5 more
wiley   +1 more source

A Multiparameter Singular Perturbation Analysis of the Robertson Model

open access: yesStudies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
wiley   +1 more source

On the structure of commutative matrices. II [PDF]

open access: yes, 1996
A finite set A of N × N nilpotent commutative matrices that have one-dimensional joint kernel is considered. The theorem (due to Suprunenko and Tyshkevich) that the algebra A generated by A and the identity matrix has dimension equal to N is proved.
Košir, Tomaž
core   +5 more sources

Bifurcation Dynamics and Complex Behavior in a Discrete‐Time Predator–Prey Model With Cross‐Species Interaction Incorporating Holling Type‐II Response

open access: yesComplexity, Volume 2025, Issue 1, 2025.
We investigate the nonlinear dynamics of a discrete‐time predator–prey model governed by a Holling Type‐II functional response. Starting from a biologically motivated continuous‐time system, we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters.
Muhammad Rafaqat   +4 more
wiley   +1 more source

Groundwater Quality and Appropriateness for Drinking and Agriculture Purposes Using Water Quality Indices and Multivariate Statistical Analysis in Kombolcha City, Ethiopia

open access: yesGeofluids, Volume 2025, Issue 1, 2025.
The study used an integrated method of water quality indices (WQIs) and multivariate statistical analysis to evaluate the hydrogeochemical characteristics of groundwater samples and their appropriateness for drinking and agricultural applications in Kombolcha City.
Nurye Mohammed   +4 more
wiley   +1 more source

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